Optimal lattice-structured materials

Messner, Mark C.

doi:10.1016/j.jmps.2016.07.010

Title: Optimal lattice-structured materials

Journal Article · Sat Jul 09 00:00:00 EDT 2016 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2016.07.010· OSTI ID:1305867

Messner, Mark C. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

This paper describes a method for optimizing the mesostructure of lattice-structured materials. These materials are periodic arrays of slender members resembling efficient, lightweight macroscale structures like bridges and frame buildings. Current additive manufacturing technologies can assemble lattice structures with length scales ranging from nanometers to millimeters. Previous work demonstrates that lattice materials have excellent stiffness- and strength-to-weight scaling, outperforming natural materials. However, there are currently no methods for producing optimal mesostructures that consider the full space of possible 3D lattice topologies. The inverse homogenization approach for optimizing the periodic structure of lattice materials requires a parameterized, homogenized material model describing the response of an arbitrary structure. This work develops such a model, starting with a method for describing the long-wavelength, macroscale deformation of an arbitrary lattice. The work combines the homogenized model with a parameterized description of the total design space to generate a parameterized model. Finally, the work describes an optimization method capable of producing optimal mesostructures. Several examples demonstrate the optimization method. One of these examples produces an elastically isotropic, maximally stiff structure, here called the isotruss, that arguably outperforms the anisotropic octet truss topology.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344; LLNL-JRNL-683819

OSTI ID:: 1305867

Alternate ID(s):: OSTI ID: 1397718

Report Number(s):: LLNL-JRNL-683819

Journal Information:: Journal of the Mechanics and Physics of Solids, Vol. 96, Issue C; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 89 works

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